Finding the Fourth Proportional to 1,966.78, 2,945.30 and 1,142.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,966.78 : 2,945.30 = 1,142.55 : x
2. Step 2: Convert to fraction form
   1,966.78/2,945.30 = 1,142.55/x
3. Step 3: Cross multiply
   1,966.78x = 2,945.30 × 1,142.55
4. Step 4: Simplify right side
   1,966.78x = 3,365,152.52
5. Step 5: Solve for x
   x = 3,365,152.52/1,966.78
6. Step 6: Final answer
   x = 1,711.00